Problem: Constraints

* H is an integer between 2 and 50 (inclusive).
* W is an integer between 2 and 50 (inclusive).
* s_{i, j} is `.` or `#` (1 \leq i \leq H, 1 \leq j \leq W).
* s_{1, 1} and s_{H, W} are `.`.

Input

Input is given from Standard Input in the following format:


H W
s_{1, 1}s_{1, 2}s_{1, 3} ... s_{1, W}
s_{2, 1}s_{2, 2}s_{2, 3} ... s_{2, W}
:   :
s_{H, 1}s_{H, 2}s_{H, 3} ... s_{H, W}


Output

Print the maximum possible score that Snuke can achieve, or print -1 if the game cannot be completed.

Examples

Input

3 3
..#
#..
...


Output

2


Input

3 3
..#
..
...


Output

2


Input

10 37
.....................................
...#...####...####..###...###...###..
..#.#..#...#.##....#...#.#...#.#...#.
..#.#..#...#.#.....#...#.#...#.#...#.
.#...#.#..##.#.....#...#.#.###.#.###.
.#####.####..#.....#...#..##....##...
.#...#.#...#.#.....#...#.#...#.#...#.
.#...#.#...#.##....#...#.#...#.#...#.
.#...#.####...####..###...###...###..
.....................................


Output

209

Solution (in PYTHON3):

Solution:
H, W = list(map(int, input().split()))
M = [[-1]*(W+2)]
ans = 0
for _ in range(H):
    s = input()
    ans += s.count('.')
    M.append([-1]+[0 if c=='.' else -1 for c in s]+[-1])
M += [[-1]*(W+2)]

queue = [(1,1)]
M[1][1] = 1
dr = [(+1,0),(-1,0),(0,+1),(0,-1)]
turn = 1
while len(queue)>0:
    turn += 1
    queue_new = []
    for qx, qy in queue:
        for dx, dy in dr:
            x, y = qx+dx, qy+dy
            if M[y][x]==0:
                M[y][x] = turn
                queue_new.append((x,y))
    queue = queue_new

print(ans-M[H][W] if M[H][W]>0 else -1)